%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:06:24 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 1 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 416 ( 160 ~; 256 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).
fof(f2,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).
fof(f3,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).
fof(f4,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).
fof(f5,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).
fof(f6,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).
fof(f7,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).
fof(f8,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).
fof(f9,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).
fof(f10,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).
fof(f11,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).
fof(f12,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).
fof(f13,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).
fof(f14,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).
fof(f15,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).
fof(f16,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).
fof(f17,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).
fof(f18,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).
fof(f19,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).
fof(f20,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).
fof(f21,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).
fof(f22,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).
fof(f23,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).
fof(f24,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).
fof(f25,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).
fof(f26,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).
fof(f27,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).
fof(f28,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).
fof(f29,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).
fof(f30,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).
fof(f31,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).
fof(f32,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).
fof(f33,plain,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f34,plain,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f35,plain,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f36,plain,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f37,plain,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f38,plain,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f39,plain,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f40,plain,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f41,plain,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f42,plain,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f43,plain,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f44,plain,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f45,plain,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f46,plain,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f47,plain,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f48,plain,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f49,plain,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f50,plain,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f51,plain,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f52,plain,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f53,plain,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f54,plain,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f55,plain,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f56,plain,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f57,plain,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f58,plain,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f59,plain,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f60,plain,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f61,plain,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f62,plain,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f63,plain,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f64,plain,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f65,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f48,f49,f50,f51,f52,f53,f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n026.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:21:42 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 % (3934337)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (3934342)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1553134997_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % The problem is propositional so there are no sorts!
% 0.07/0.25 % TRYING []
% 0.07/0.25 % (3934342) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3934337-3934342"...
% 0.07/0.25 % (3934342)...printing done.
% 0.07/0.25 % (3934342)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (3934342)------------------------------
% 0.07/0.25 % (3934342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (3934342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (3934342)CaDiCaL version: 2.1.3
% 0.07/0.25 % (3934342)Termination reason: Refutation
% 0.07/0.25 % (3934342)Time elapsed: 0.002 s
% 0.07/0.25 % (3934342)Peak memory usage: 11 MB
% 0.07/0.25 % (3934342)Instructions burned: 5 (million)
% 0.07/0.25 % (3934337)Success in time 0.036 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------